72613889543360 has 336 divisors, whose sum is σ = 197348514441120. Its totient is φ = 25236576583680.

The previous prime is 72613889543359. The next prime is 72613889543387. The reversal of 72613889543360 is 6334598831627.

72613889543360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2400205994 + ... + 2400236246.

It is an arithmetic number, because the mean of its divisors is an integer number (587346769170).

It is a 1-persistent number, because it is pandigital, but 2⋅72613889543360 = 145227779086720 is not.

Almost surely, 2^{72613889543360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72613889543360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98674257220560).

72613889543360 is an abundant number, since it is smaller than the sum of its proper divisors (124734624897760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72613889543360 is a wasteful number, since it uses less digits than its factorization.

72613889543360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31616 (or 31583 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 65.

The spelling of 72613889543360 in words is "seventy-two trillion, six hundred thirteen billion, eight hundred eighty-nine million, five hundred forty-three thousand, three hundred sixty".